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08/01/2023
Imposing nonlocal boundary conditions in Galerkin-type methods based on non-interpolatory functions
The imposition of inhomogeneous Dirichlet (essential) boundary condition...
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07/19/2023
Approximation properties over self-similar meshes of curved finite elements and applications to subdivision based isogeometric analysis
In this study we consider domains that are composed of an infinite seque...
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03/13/2023
Isogeometric multi-patch C^1-mortar coupling for the biharmonic equation
We propose an isogeometric mortar method to fourth order elliptic proble...
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02/16/2023
C^1-smooth isogeometric spline functions of general degree over planar mixed meshes: The case of two quadratic mesh elements
Splines over triangulations and splines over quadrangulations (tensor pr...
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03/15/2022
Locally refined quad meshing for linear elasticity problems based on convolutional neural networks
In this paper we propose a method to generate suitably refined finite el...
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02/09/2022
An approximate C^1 multi-patch space for isogeometric analysis with a comparison to Nitsche's method
We present an approximately C^1-smooth multi-patch spline construction w...
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01/27/2022
Almost-C^1 splines: Biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems
Isogeometric Analysis generalizes classical finite element analysis and ...
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09/01/2021
Adaptive Refinement for Unstructured T-Splines with Linear Complexity
We present an adaptive refinement algorithm for T-splines on unstructure...
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03/04/2021
Construction of approximate C^1 bases for isogeometric analysis on two-patch domains
In this paper, we develop and study approximately smooth basis construct...
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05/08/2020
A family of C^1 quadrilateral finite elements
We present a novel family of C^1 quadrilateral finite elements, which de...
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03/31/2020
A super-smooth C^1 spline space over mixed triangle and quadrilateral meshes
In this paper we introduce a C^1 spline space over mixed meshes composed...
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01/30/2019